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Finding the Third Proportional to 425,193 and 922,374

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Solution

The third proportional to 425,193 and 922,374 is: 2,000,912.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,193 : 922,374 = 922,374 : x
  2. Step 2: Convert to fraction form
    425,193/922,374 = 922,374/x
  3. Step 3: Cross multiply
    425,193x = 922,374 × 922,374
  4. Step 4: Simplify right side
    425,193x = 850,773,795,876
  5. Step 5: Solve for x
    x = 850,773,795,876/425,193
  6. Step 6: Final answer
    x = 2,000,912.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.